The slope of the current line is -2/7. To find the slope of the line perpendicular to it, find the negative reciprocal of the slope. So it would be 7/2. The y intercept or the b would remain the same so the equation would be y=7/2x+8. Hope this helps.
In order to find this, you need to know that perpendicular lines have opposite and reciprocal slopes. This means we take the slope of the original line (-2/7) and change the sign to get 2/7. Now we flip the fraction to get 7/2, which would be your new slope.
